Find the volume of the parallelopiped with segments \( A B, A C \) and \( A D \) as concurrent e...

Find the volume of the parallelopiped with segments \( A B, A C \) and \( A D \) as concurrent edges, where the position vectors of \( A, B, C, D \) are \( \hat{i}+\hat{j}+\hat{k}, 2 \hat{i}-\hat{j}+3 \hat{k} \), \( 3 \hat{i}-2 \hat{j}-2 \hat{k} \) and \( 3 \hat{i}+3 \hat{j}+4 \hat{k} \) respectively.
(A) \( 27 \mathrm{cu} \). units
(B) \( 41 \mathrm{cu} \). units
(C) \( 10 \mathrm{cu} \). units
(D) 52 cu. units